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Simplifying 7(4 + 5m) = 6m + -30 (4 * 7 + 5m * 7) = 6m + -30 (28 + 35m) = 6m + -30 Reorder the terms: 28 + 35m = -30 + 6m Solving 28 + 35m = -30 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 28 + 35m + -6m = -30 + 6m + -6m Combine like terms: 35m + -6m = 29m 28 + 29m = -30 + 6m + -6m Combine like terms: 6m + -6m = 0 28 + 29m = -30 + 0 28 + 29m = -30 Add '-28' to each side of the equation. 28 + -28 + 29m = -30 + -28 Combine like terms: 28 + -28 = 0 0 + 29m = -30 + -28 29m = -30 + -28 Combine like terms: -30 + -28 = -58 29m = -58 Divide each side by '29'. m = -2 Simplifying m = -2
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